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Finding the Third Proportional to 148,620 and 320,460

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Solution

The third proportional to 148,620 and 320,460 is: 690,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,620 : 320,460 = 320,460 : x
  2. Step 2: Convert to fraction form
    148,620/320,460 = 320,460/x
  3. Step 3: Cross multiply
    148,620x = 320,460 × 320,460
  4. Step 4: Simplify right side
    148,620x = 102,694,611,600
  5. Step 5: Solve for x
    x = 102,694,611,600/148,620
  6. Step 6: Final answer
    x = 690,987.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.